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Fundamental Principle of Counting

Two series of...

Question

Two series of a question booklet for an aptitude test are to be given to twelve students. In how many ways can the students be placed in two rows of six each so that there should be no identical series side by side and that the students sitting one behind the other should have the same series?

A

2 \times^{12} C_{6} \times (6!)^{2}

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B

6! x 6!

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C

7! x 7!

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D

2 x 6!

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Solution

The correct option is B 6! x 6!
(B) $6! \times 6!$

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